420364672 has 128 divisors (see below), whose sum is σ = 1041868800. Its totient is φ = 164505600.

The previous prime is 420364669. The next prime is 420364673. The reversal of 420364672 is 276463024.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420364673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1758729 + ... + 1758967.

It is an arithmetic number, because the mean of its divisors is an integer number (8139600).

Almost surely, 2^420364672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420364672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520934400).

420364672 is an abundant number, since it is smaller than the sum of its proper divisors (621504128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

420364672 is a wasteful number, since it uses less digits than its factorization.

420364672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

The square root of 420364672 is about 20502.7966872815. The cubic root of 420364672 is about 749.1039206302.

The spelling of 420364672 in words is "four hundred twenty million, three hundred sixty-four thousand, six hundred seventy-two".